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- Yasuo Kawahara, Hitoshi Furusawa
- Fuzzy Sets and Systems
- 1999

This paper provides an algebraic formalization of mathematical structures formed by fuzzy relations with sup-min composition. A simple proof of a representation theorem for Boolean relation algebras satisfying Tarski rule and point axiom has been given by G. Schmidt and T. Str ohlein. Unlike Boolean relation algebras, fuzzy relation algebras are not… (More)

- Toshinori Takai, Hitoshi Furusawa
- RelMiCS
- 2006

- Hitoshi FURUSAWA, Yasuo Kawahara, +9 authors Noriko Sugimoto
- 1998

The aim of this thesis is to develop the fuzzy relational calculus. To develop this calculus, we study four algebraic formalisations of fuzzy relations which are called fuzzy relation algebras, Zadeh categories, relation algebras and Dedekind categories, and we strive to arrive at their representation theorems. The calculus of relations has been… (More)

- Yasuo KAWAHARA, Hithoshi FURUSAWA, Hitoshi FURUSAWA
- 1997

- Yasuo Kawahara, Hitoshi Furusawa, Masao Mori
- Inf. Sci.
- 1997

This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relations with sup-min composition, and proves two representation theorems for Dedekind categories (relation categories) with a unit object analogous to one-point set, and for Zadeh categories without unit objects.

Symmetric quotients, introduced in the context of heterogeneous relation algebras, have proven useful for applications comprising for example program semantics and databases. Recently, the increased interest in fuzzy relations has fostered a lot of work concerning relation-like structures with weaker axiomatisations. In this paper, we study symmetric… (More)

- Hithoshi FURUSAWA, Hitoshi FURUSAWA, Hitoshi Furusawa
- 1997

- Hitoshi FURUSAWA
- 1996

This paper provides an algebraic characterization of mathematical structures formed by cartesian products of fuzzy relations with sup-min composition. A simple proof of a representation theorem for Boolean relation algebras satisfying Tarski rule and point axiom was given by G. Schmidt and T. Str ohlein, and cartesian products of Boolean relation algebras… (More)

- Hitoshi Furusawa, Georg Struth
- ACM Trans. Comput. Log.
- 2015

We reconstruct Peleg’s concurrent dynamic logic in the context of modal Kleene algebras. We explore the algebraic structure of its multirelational semantics and develop an axiomatization of concurrent dynamic algebras from that basis. In this context, sequential composition is not associative. It interacts with parallel composition through a weak… (More)

- Hitoshi Furusawa, Norihiro Tsumagari, Koki Nishizawa
- RelMiCS
- 2008